616353305620446 has 192 divisors, whose sum is σ = 1472728608000000. Its totient is φ = 185531039156736.

The previous prime is 616353305620433. The next prime is 616353305620447. The reversal of 616353305620446 is 644026503353616.

616353305620446 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 5 + 3 + 3 + 0 + 5 + 620 + 4 + 4 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 616353305620392 and 616353305620401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616353305620447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11164377375 + ... + 11164432581.

It is an arithmetic number, because the mean of its divisors is an integer number (7670461500000).

Almost surely, 2^{616353305620446} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616353305620446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736364304000000).

616353305620446 is an abundant number, since it is smaller than the sum of its proper divisors (856375302379554).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

616353305620446 is a wasteful number, since it uses less digits than its factorization.

616353305620446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69591 (or 69588 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 616353305620446 in words is "six hundred sixteen trillion, three hundred fifty-three billion, three hundred five million, six hundred twenty thousand, four hundred forty-six".